What is the Greatest Common Factor of 73285 and 73302?

Greatest common factor (GCF) of 73285 and 73302 is 1.

GCF(73285,73302) = 1

We will now calculate the prime factors of 73285 and 73302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73285 and 73302.

How to find the GCF of 73285 and 73302?

We will first find the prime factorization of 73285 and 73302. After we will calculate the factors of 73285 and 73302 and find the biggest common factor number .

Step-1: Prime Factorization of 73285

Prime factors of 73285 are 5, 14657. Prime factorization of 73285 in exponential form is:

73285 = 5¹ × 14657¹

Step-2: Prime Factorization of 73302

Prime factors of 73302 are 2, 3, 19, 643. Prime factorization of 73302 in exponential form is:

73302 = 2¹ × 3¹ × 19¹ × 643¹

Step-3: Factors of 73285

List of positive integer factors of 73285 that divides 73285 without a remainder.

1, 5, 14657

Step-4: Factors of 73302

List of positive integer factors of 73302 that divides 73285 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 643, 1286, 1929, 3858, 12217, 24434, 36651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73285 and 73302. The biggest common factor number is the GCF number.
So the greatest common factor 73285 and 73302 is 1.

Also check out the Least Common Multiple of 73285 and 73302